I have a little collection of nice bass pickups for projects that aren't likely to be ready any time soon, so the fine people of BassPlayerNZ (and NZG) get to have first pick of them. These are all brand new, unused stock although some have been opened to measure impedance. Prices for BassPlayer and NZG members only, full retail prices in brackets.

I can certainly rewind pickups. How close to original spec I can get it depends on the availability of information about the given pickup and how fussy the ears of the owner are

The horsey pickup should be no problem. The 1/10 output problem sounds like a cracked coil wire, which is rewind territory for sure. Highs can still make it across the crack (like a capacitor) but lows are blocked. You end up with a tinny, quiet pickup.

Off the top of my head I reckon $80-100 to rewind it would be in the right ballpark.